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My task is to investigate the differences of the products of the diagonally opposite corners of a rectangle, drawn on a 10x10 grid, with the squares numbered off 1 to 100.
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Maths Coursework Opposite Corners Aim: My task is to investigate the differences of the products of the diagonally opposite corners of a rectangle, drawn on a 10x10 grid, with the squares numbered off 1 to 100. I will aim to investigate the differences for rectangles that are aligned differently, of different lengths, widths and when they are squares. I plan to use algebra to prove any rules I discover which I will hopefully discover by analysing my results that I will log in tables. I will test any rules, patterns and theories I find by using predictions and examples. I will record any ideas and thoughts I have as I proceed. Method: To start with I will break up my work into sections, my first is: 2x3 Rectangles I will concentrate on one particular aspect of at a time. What is the difference between the products of the corners? Is the difference the same for a rectangle drawn anywhere in...
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